score:15
If push comes to shove, you can always request that the embassy return your passport. Of course, this might cancel any application process that you have pending with them.
Emergency travel passports are issued when you have lost your passport, typically require a police report or equivalent, and they both cost money and would invalidate your previous passport. So this option is strictly worse than just asking for your passport back.
Some countries allow frequent travellers to get a second passport precisely for cases like this, but as far as I'm aware India is not one of these countries.